Minimal model fusion rules from 2-groups

dc.creatorAkman, Fusun
dc.creatorFeingold, Alex J.
dc.creatorWeiner, Michael D.
dc.date1996-01-05
dc.date.accessioned2026-07-07T09:16:48Z
dc.date.available2026-07-07T09:16:48Z
dc.descriptionThe fusion rules for the $(p,q)$-minimal model representations of the Virasoro algebra are shown to come from the group $G = \boZ_2^{p+q-5}$ in the following manner. There is a partition $G = P_1 \cup ...\cup P_N$ into disjoint subsets and a bijection between $\{P_1,...,P_N\}$ and the sectors $\{S_1,...,S_N\}$ of the $(p,q)$-minimal model such that the fusion rules $S_i * S_j = \sum_k D(S_i,S_j,S_k) S_k$ correspond to $P_i * P_j = \sum_{k\in T(i,j)} P_k$ where $T(i,j) = \{k|\exists a\in P_i,\exists b\in P_j, a+b\in P_k\}$.
dc.description8 pages, amstex, v2.1, uses fonts msam, msbm, no figures, tables constructed using macros: cellular and related files are included. This paper will be submitted to Communications in Math. Physics. A compressed dvi file is available at ftp://math.binghamton.edu/pub/alex/fusionrules.dvi.Z , and compressed postscript at ftp://math.binghamton.edu/pub/alex/fusionrules.ps.Z
dc.identifierhttps://arxiv.org/abs/q-alg/9601004
dc.identifierhttp://arxiv.org/abs/q-alg/9601004
dc.identifierLett.Math.Phys. 40 (1997) 159-169
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153481
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.titleMinimal model fusion rules from 2-groups
dc.typetext

Files

Collections